Fixed math in some blog posts

This commit is contained in:
Brandon Rozek 2021-07-26 09:52:41 -04:00
parent c717c72d08
commit 17165847cd
6 changed files with 8 additions and 1 deletions

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@ -3,6 +3,7 @@ title: "Comparator Logic Gate"
date: 2021-06-18T01:09:45-04:00
draft: false
tags: []
math: true
---
This post is heavily derived from the Wikipedia post on [Digital Comparators](https://en.wikipedia.org/wiki/Digital_comparator) and therefore can be distributed under the Creative Commons Attribution-ShareAlike 3.0 license.

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@ -3,6 +3,7 @@ title: "Disc Golf and PyMC3"
date: 2020-03-28T22:08:19-04:00
draft: false
tags: ["python", "stats"]
math: true
---
I've been following along with [Bayesian Methods for Hackers](https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/tree/master/) and I wanted to try using PyMC3 with my own small dataset.

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@ -2,6 +2,7 @@
title: "Real Analysis Sequences in Haskell"
date: 2019-05-21T22:18:21-04:00
draft: false
math: true
---
In Real Analysis it is useful to look at terms of a sequence. One of the best ways I've found to do this is in believe it or not Haskell. This is mainly for these two reasons

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@ -3,6 +3,7 @@ title: "Human Readable Sizes"
date: 2021-03-15T19:11:35-04:00
draft: false
tags: []
math: true
---
When playing with large and small values, it is useful to convert them to a different unit in scientific notation. Let's look at bytes.

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@ -3,6 +3,7 @@ title: "Introduction to RF Power Amplifiers"
date: 2021-04-10T13:01:00-04:00
draft: false
tags: ["amateur-radio"]
math: true
---
For field day I've been toying with the idea of buying a power amplifier for my HackRF. What I've come to realize is that there are a lot more to power amplifiers than just how much it amplifies by. This post outlines my current understanding (I'm by no means an expert) on the subject of RF power amplifiers.

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@ -36,6 +36,7 @@ This element maps $0 \rightarrow 1$, $1 \rightarrow 2$, and $2 \rightarrow 0$.
A good way to check if something similar to the above is an element of a symmetric group is pay attention to the second row. Make sure that it only contains the elements of the set you care about (ex: $\mathbb{Z}_3$) and that there are no repeats.
Let's look at an example of composing two elements from this symmetric group.
$$
\begin{pmatrix}
0 & 1 & 2 \\
@ -46,12 +47,13 @@ $$
0 & 1 & 2 \\
0 & 2 & 1 \\
\end{pmatrix}
=
\=
\begin{pmatrix}
0 & 1 & 2 \\
1 & 0 & 2 \\
\end{pmatrix}
$$
The main thing to remember here is that you must compose from right to left.
$0 \rightarrow 0$ and then $0 \rightarrow 1$, so ultimately $0 \rightarrow 1$.